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Simplifying -7(v + 2) + 2v + 5 = 7v + 8 Reorder the terms: -7(2 + v) + 2v + 5 = 7v + 8 (2 * -7 + v * -7) + 2v + 5 = 7v + 8 (-14 + -7v) + 2v + 5 = 7v + 8 Reorder the terms: -14 + 5 + -7v + 2v = 7v + 8 Combine like terms: -14 + 5 = -9 -9 + -7v + 2v = 7v + 8 Combine like terms: -7v + 2v = -5v -9 + -5v = 7v + 8 Reorder the terms: -9 + -5v = 8 + 7v Solving -9 + -5v = 8 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -9 + -5v + -7v = 8 + 7v + -7v Combine like terms: -5v + -7v = -12v -9 + -12v = 8 + 7v + -7v Combine like terms: 7v + -7v = 0 -9 + -12v = 8 + 0 -9 + -12v = 8 Add '9' to each side of the equation. -9 + 9 + -12v = 8 + 9 Combine like terms: -9 + 9 = 0 0 + -12v = 8 + 9 -12v = 8 + 9 Combine like terms: 8 + 9 = 17 -12v = 17 Divide each side by '-12'. v = -1.416666667 Simplifying v = -1.416666667
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